Symmetry and perturbation theory in non-linear dynamics

DOI10.1007/978-1-0716-2621-4_361zbMath1548.70004MaRDI QIDQ6599392

Giuseppe Gaeta

Publication date: 6 September 2024

zbMATH Keywords

perturbation theorynormal formssymmetriesLie algebras

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) General perturbation schemes for nonlinear problems in mechanics (70K60) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Nonlinear resonances for nonlinear problems in mechanics (70K30) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02) Normal forms for nonlinear problems in mechanics (70K45) Averaging of perturbations for nonlinear problems in mechanics (70K65)

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